{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import math\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.fftpack import fft,ifft\n",
    "import pandas as pd\n",
    "from scipy.optimize import minimize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# N=20取log bin的函数\n",
    "\n",
    "def databin_20(lst):\n",
    "    result = [[]]    \n",
    "    length = len(lst)\n",
    "    n = 0\n",
    "    for i in range(length):\n",
    "        result[-1].append(math.log(lst[i],10))\n",
    "        n = n+1\n",
    "        if n ==20:\n",
    "            n = 0\n",
    "            result.append([])\n",
    "    result.pop()\n",
    "    output=[]\n",
    "    for j in range(len(result)):\n",
    "        output.append((np.median(result[j]))) \n",
    "    return output\n",
    "\n",
    "def databin_20_std(lst):\n",
    "    result = [[]]\n",
    "    length = len(lst)\n",
    "    n = 0\n",
    "    for i in range(length):\n",
    "        result[-1].append(math.log(lst[i],10))\n",
    "        n = n+1\n",
    "        if n == 20:\n",
    "            n = 0\n",
    "            result.append([]) \n",
    "    result.pop()\n",
    "    output=[]\n",
    "    for j in range(len(result)):\n",
    "        output.append(np.std(result[j]))\n",
    "    return output"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 参考 08 Arevalo 取log bin的函数\n",
    "\n",
    "def databin_are(lst,f):\n",
    "    result = [[]]\n",
    "    f_length = len(f)\n",
    "    f_i = f[0]\n",
    "    for i in range(f_length):\n",
    "        if f[i]<=1.3*f_i:\n",
    "            result[-1].append(math.log(lst[i],10))\n",
    "        else:\n",
    "            if len(result[-1])<=2:\n",
    "                result[-1].append(math.log(lst[i],10))\n",
    "            else:\n",
    "                result.append([])\n",
    "                result[-1].append(math.log(lst[i],10))\n",
    "                f_i = f[i]\n",
    "    result.pop()\n",
    "    output=[]\n",
    "    for j in range(len(result)):\n",
    "        output.append(np.mean(result[j]))\n",
    "    return output        \n",
    "            \n",
    "\n",
    "def databin_are_std(lst,f):\n",
    "    result = [[]]\n",
    "    f_length = len(f)\n",
    "    f_i = f[0]\n",
    "    for i in range(f_length):\n",
    "        if f[i]<=1.3*f_i:\n",
    "            result[-1].append(math.log(lst[i],10))\n",
    "        else:\n",
    "            if len(result[-1])<=2:\n",
    "                result[-1].append(math.log(lst[i],10))\n",
    "            else:\n",
    "                result.append([])\n",
    "                result[-1].append(math.log(lst[i],10))\n",
    "                f_i = f[i]\n",
    "    result.pop()\n",
    "    output=[]\n",
    "    for j in range(len(result)):\n",
    "        output.append(np.std(result[j]))\n",
    "    return output"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data06 = pd.read_csv(\"0.3_10_tb50.csv\")\n",
    "'''data06['RATE'] = data06['RATE'].fillna(data092['RATE'].mean())   # 平均值插值'''\n",
    "data06['RATE'] = data06['RATE'].interpolate()\n",
    "\n",
    "\n",
    "dt=50\n",
    "counts_data = data06['RATE']\n",
    "N=len(counts_data)\n",
    "pnum = np.arange(len(counts_data))\n",
    "t = [i*dt for i in pnum]\n",
    "\n",
    "\n",
    "nf = N/2\n",
    "df = 1/(dt*N)\n",
    "F_a = np.arange(1,nf+1)\n",
    "F = [i*df for i in F_a]\n",
    "F1 = F[0:int(nf)]\n",
    "mean_x = np.mean(counts_data)\n",
    "dft = fft(counts_data)\n",
    "dft1= dft[1:int(nf)+1]\n",
    "per_data = (abs(dft1)**2)*2*dt/((mean_x**2)*N)\n",
    "p_times_f_data = np.multiply(np.array(F1),np.array(per_data))\n",
    "\n",
    "F1_log_06 = [math.log(i,10) for i in F1]\n",
    "ptf_data_log_00 = [math.log(i,10) for i in p_times_f_data]\n",
    "\n",
    "# 数据分bin\n",
    "F1_binned_06 = databin_are(F1,F1)\n",
    "per_data_binned_06 = databin_are(per_data,F1)\n",
    "per_data_b_std_06 = databin_are_std(per_data,F1)\n",
    "p_times_f_data_b_06 = np.array(F1_binned_06)+np.array(per_data_binned_06)\n",
    "\n",
    "'''\n",
    "#减掉泊松噪声分bin\n",
    "per_nobs = [i-2/mean_x for i in per_data]\n",
    "F1_binned_06 = databin_20(F1)\n",
    "per_data_binned_06 = databin_20(per_nobs)\n",
    "per_data_b_std_06 = databin_20_std(per_nobs)\n",
    "p_times_f_data_b_06 = np.array(F1_binned_06)+np.array(per_data_binned_06)\n",
    "'''\n",
    "\n",
    "\n",
    "plt.figure(figsize=(10,8))\n",
    "plt.plot(F1_log_06, ptf_data_log_00, color=\"b\", alpha=0.3, linewidth=1)\n",
    "plt.scatter(F1_binned_06, p_times_f_data_b_06, color=\"r\", linewidth=1) \n",
    "plt.errorbar(F1_binned_06, p_times_f_data_b_06, yerr=per_data_b_std_06, fmt='.r')\n",
    "plt.xlabel(\"log frequency\",fontsize=15)\n",
    "plt.ylabel(\"log power*frequency\",fontsize=15)\n",
    "plt.tick_params(labelsize=13)\n",
    "plt.show()\n",
    "\n",
    "perlist_06 = {'f':F1,'per':per_data}\n",
    "test = pd.DataFrame(perlist_06,columns = ['f','per'])\n",
    "test.to_csv('perlist06.csv')\n",
    "\n",
    "perb=[10**i for i in per_data_binned_06]\n",
    "fb=[10**i for i in F1_binned_06]\n",
    "stdb=[10**i for i in per_data_b_std_06]\n",
    "perlistbinned_06 = {'f':fb,'per':perb,'std':stdb}\n",
    "test = pd.DataFrame(perlistbinned_06,columns = ['f','per','std'])\n",
    "test.to_csv('perlistbinned06.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "parameter = [0.005, 1.7E-4, 3.8]\n",
    "model=[]\n",
    "A=parameter[0]\n",
    "f_b=parameter[1]\n",
    "alpha_H=parameter[2]\n",
    "alpha_L=1.0\n",
    "f_length = len(F1)\n",
    "for i in range(f_length):\n",
    "    model.append(((F1[i]**(-alpha_L))/(1+(F1[i]/f_b)**(alpha_H-alpha_L)))*A)\n",
    "model_times_f = np.multiply(np.array(F1),np.array(model))\n",
    "    \n",
    "\n",
    "    \n",
    "\n",
    "plt.figure(figsize=(10,8))\n",
    "plt.loglog()\n",
    "plt.step(F1, per_data, color=\"b\", alpha=0.3, linewidth=1,label=\"data\")\n",
    "plt.plot(F1, model, color=\"r\",ls=\"--\", linewidth=1,label=\"model\")\n",
    "plt.xlabel(\"frequency\",fontsize=15)\n",
    "plt.ylabel(\"power*frequency\",fontsize=15)\n",
    "plt.tick_params(labelsize=13)\n",
    "plt.legend(fontsize=13)\n",
    "plt.xlim(F1[0],10**-3)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data00 = pd.read_csv(\"03_10_tb50(00).csv\")  \n",
    "data00['RATE'] = data00['RATE'].interpolate()\n",
    "\n",
    "\n",
    "dt=50\n",
    "counts_data = data00['RATE']\n",
    "N=len(counts_data)\n",
    "pnum = np.arange(len(counts_data))\n",
    "t = [i*dt for i in pnum]\n",
    "\n",
    "\n",
    "nf = N/2\n",
    "df = 1/(dt*N)\n",
    "F_a = np.arange(1,nf+1)\n",
    "F = [i*df for i in F_a]\n",
    "F1 = F[0:int(nf)]\n",
    "mean_x = np.mean(counts_data)\n",
    "dft = fft(counts_data)\n",
    "dft1= dft[1:int(nf)+1]\n",
    "per_data = (abs(dft1)**2)*2*dt/((mean_x**2)*N)\n",
    "p_times_f_data = np.multiply(np.array(F1),np.array(per_data))\n",
    "\n",
    "F1_log_00 = [math.log(i,10) for i in F1]\n",
    "ptf_data_log_00 = [math.log(i,10) for i in p_times_f_data]\n",
    "\n",
    "# 数据分bin\n",
    "F1_binned_00 = databin_are(F1,F1)\n",
    "per_data_binned_00 = databin_are(per_data,F1)\n",
    "per_data_b_std_00 = databin_are_std(per_data,F1)\n",
    "p_times_f_data_b_00 = np.array(F1_binned_00)+np.array(per_data_binned_00)\n",
    "\n",
    "\n",
    "\n",
    "plt.figure(figsize=(10,8))\n",
    "plt.plot(F1_log_00, ptf_data_log_00, color=\"b\", alpha=0.3, linewidth=1)\n",
    "plt.scatter(F1_binned_00, p_times_f_data_b_00, color=\"r\", linewidth=1) \n",
    "plt.errorbar(F1_binned_00, p_times_f_data_b_00, yerr=per_data_b_std_00, fmt='.r')\n",
    "plt.xlabel(\"log frequency\",fontsize=15)\n",
    "plt.ylabel(\"log power*frequency\",fontsize=15)\n",
    "plt.tick_params(labelsize=13)\n",
    "plt.show()\n",
    "\n",
    "perlist_00 = {'f':F1,'per':per_data}\n",
    "test = pd.DataFrame(perlist_00,columns = ['f','per'])\n",
    "test.to_csv('perlist00.csv')\n",
    "\n",
    "perb=[10**i for i in per_data_binned_00]\n",
    "fb=[10**i for i in F1_binned_00]\n",
    "stdb=[10**i for i in per_data_b_std_00]\n",
    "perlistbinned_00 = {'f':fb,'per':perb,'std':stdb}\n",
    "test = pd.DataFrame(perlistbinned_00,columns = ['f','per','std'])\n",
    "test.to_csv('perlistbinned00.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.02973235109135774, 0.5937641111294195, 0.32301261224330313, 0.7240908759630801, 0.29518555039458366, 0.2776670334812964, 0.30689608025167, 0.46595430410069033, 0.4130225966481807, 0.5703269500363728, 0.748159226380657, 0.46221253945387697, 0.4785799587848321, 0.6359039894754327, 0.6132613008103793, 0.4902061647971224, 0.5940162131955506, 0.6229004365784919, 0.6319608029628385]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data091 = pd.read_csv(\"03_10_tb50(091).csv\")  \n",
    "data091['RATE'] = data091['RATE'].interpolate()\n",
    "\n",
    "\n",
    "dt=50\n",
    "counts_data = data091['RATE']\n",
    "N=len(counts_data)\n",
    "pnum = np.arange(len(counts_data))\n",
    "t = [i*dt for i in pnum]\n",
    "\n",
    "\n",
    "nf = N/2\n",
    "df = 1/(dt*N)\n",
    "F_a = np.arange(1,nf+1)\n",
    "F = [i*df for i in F_a]\n",
    "F1 = F[0:int(nf)]\n",
    "mean_x = np.mean(counts_data)\n",
    "dft = fft(counts_data)\n",
    "dft1= dft[1:int(nf)+1]\n",
    "per_data = (abs(dft1)**2)*2*dt/((mean_x**2)*N)\n",
    "p_times_f_data = np.multiply(np.array(F1),np.array(per_data))\n",
    "\n",
    "F1_log_091 = [math.log(i,10) for i in F1]\n",
    "ptf_data_log_091 = [math.log(i,10) for i in p_times_f_data]\n",
    "\n",
    "# 数据分bin\n",
    "F1_binned_091 = databin_are(F1,F1)\n",
    "per_data_binned_091 = databin_are(per_data,F1)\n",
    "per_data_b_std_091 = databin_are_std(per_data,F1)\n",
    "p_times_f_data_b_091 = np.array(F1_binned_091)+np.array(per_data_binned_091)\n",
    "\n",
    "print (per_data_b_std_091)\n",
    "\n",
    "\n",
    "plt.figure(figsize=(10,8))\n",
    "plt.plot(F1_log_091, ptf_data_log_091, color=\"b\", alpha=0.3, linewidth=1)\n",
    "plt.scatter(F1_binned_091, p_times_f_data_b_091, color=\"r\", linewidth=1) \n",
    "plt.errorbar(F1_binned_091, p_times_f_data_b_091, yerr=per_data_b_std_091, fmt='.r')\n",
    "plt.xlabel(\"log frequency\",fontsize=15)\n",
    "plt.ylabel(\"log power*frequency\",fontsize=15)\n",
    "plt.tick_params(labelsize=13)\n",
    "plt.show()\n",
    "\n",
    "perlist_091 = {'f':F1,'per':per_data}\n",
    "test = pd.DataFrame(perlist_091,columns = ['f','per'])\n",
    "test.to_csv('perlist091.csv')\n",
    "\n",
    "perb=[10**i for i in per_data_binned_091]\n",
    "fb=[10**i for i in F1_binned_091]\n",
    "stdb=[10**i for i in per_data_b_std_091]\n",
    "perlistbinned_091 = {'f':fb,'per':perb,'std':stdb}\n",
    "test = pd.DataFrame(perlistbinned_091,columns = ['f','per','std'])\n",
    "test.to_csv('perlistbinned091.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data092 = pd.read_csv(\"03_10_tb50(092).csv\")  \n",
    "data092['RATE'] = data092['RATE'].interpolate()\n",
    "\n",
    "\n",
    "dt=50\n",
    "counts_data = data092['RATE']\n",
    "N=len(counts_data)\n",
    "pnum = np.arange(len(counts_data))\n",
    "t = [i*dt for i in pnum]\n",
    "\n",
    "\n",
    "nf = N/2\n",
    "df = 1/(dt*N)\n",
    "F_a = np.arange(1,nf+1)\n",
    "F = [i*df for i in F_a]\n",
    "F1 = F[0:int(nf)]\n",
    "mean_x = np.mean(counts_data)\n",
    "dft = fft(counts_data)\n",
    "dft1= dft[1:int(nf)+1]\n",
    "per_data = (abs(dft1)**2)*2*dt/((mean_x**2)*N)\n",
    "p_times_f_data = np.multiply(np.array(F1),np.array(per_data))\n",
    "\n",
    "F1_log_092 = [math.log(i,10) for i in F1]\n",
    "ptf_data_log_092 = [math.log(i,10) for i in p_times_f_data]\n",
    "\n",
    "# 数据分bin\n",
    "F1_binned_092 = databin_are(F1,F1)\n",
    "per_data_binned_092 = databin_are(per_data,F1)\n",
    "per_data_b_std_092 = databin_are_std(per_data,F1)\n",
    "p_times_f_data_b_092 = np.array(F1_binned_092)+np.array(per_data_binned_092)\n",
    "\n",
    "\n",
    "\n",
    "plt.figure(figsize=(10,8))\n",
    "plt.plot(F1_log_092, ptf_data_log_092, color=\"b\", alpha=0.3, linewidth=1)\n",
    "plt.scatter(F1_binned_092, p_times_f_data_b_092, color=\"r\", linewidth=1) \n",
    "plt.errorbar(F1_binned_092, p_times_f_data_b_092, yerr=per_data_b_std_092, fmt='.r')\n",
    "plt.xlabel(\"log frequency\",fontsize=15)\n",
    "plt.ylabel(\"log power*frequency\",fontsize=15)\n",
    "plt.tick_params(labelsize=13)\n",
    "plt.show()\n",
    "\n",
    "perlist_092 = {'f':F1,'per':per_data}\n",
    "test = pd.DataFrame(perlist_092,columns = ['f','per'])\n",
    "test.to_csv('perlist092.csv')\n",
    "\n",
    "perb=[10**i for i in per_data_binned_092]\n",
    "fb=[10**i for i in F1_binned_092]\n",
    "stdb=[10**i for i in per_data_b_std_092]\n",
    "perlistbinned_092 = {'f':fb,'per':perb,'std':stdb}\n",
    "test = pd.DataFrame(perlistbinned_092,columns = ['f','per','std'])\n",
    "test.to_csv('perlistbinned092.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,8))\n",
    "plt.errorbar(F1_binned_00, p_times_f_data_b_00, yerr=per_data_b_std_00, fmt='o', label='2000')\n",
    "plt.errorbar(F1_binned_06, p_times_f_data_b_06, yerr=per_data_b_std_06, fmt='^', label='2006')\n",
    "plt.errorbar(F1_binned_091, p_times_f_data_b_091, yerr=per_data_b_std_091, fmt='s',label='2009(1)')\n",
    "plt.errorbar(F1_binned_092, p_times_f_data_b_092, yerr=per_data_b_std_092, fmt='*',label='2009(2)')\n",
    "plt.xlabel(\"log frequency\",fontsize=15)\n",
    "plt.ylabel(\"log power*frequency\",fontsize=15)\n",
    "plt.tick_params(labelsize=13)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,8))\n",
    "plt.errorbar(F1_binned_00, per_data_binned_00, yerr=per_data_b_std_00, fmt='o', label='2000')\n",
    "plt.errorbar(F1_binned_06, per_data_binned_06, yerr=per_data_b_std_06, fmt='^', label='2006')\n",
    "plt.errorbar(F1_binned_091, per_data_binned_091, yerr=per_data_b_std_091, fmt='s',label='2009(1)')\n",
    "plt.errorbar(F1_binned_092, per_data_binned_092, yerr=per_data_b_std_092, fmt='*',label='2009(2)')\n",
    "plt.xlabel(\"log frequency\",fontsize=15)\n",
    "plt.ylabel(\"log power\",fontsize=15)\n",
    "plt.tick_params(labelsize=13)\n",
    "plt.legend(fontsize=13)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,8))\n",
    "plt.errorbar(F1_binned_00, p_times_f_data_b_00, yerr=per_data_b_std_00, fmt='o', label='2000')\n",
    "plt.errorbar(F1_binned_06, p_times_f_data_b_06, yerr=per_data_b_std_06, fmt='^', label='2006')\n",
    "plt.errorbar(F1_binned_091, p_times_f_data_b_091, yerr=per_data_b_std_091, fmt='s',label='2009(1)')\n",
    "plt.errorbar(F1_binned_092, p_times_f_data_b_092, yerr=per_data_b_std_092, fmt='*',label='2009(2)')\n",
    "plt.xlabel(\"log frequency\",fontsize=15)\n",
    "plt.ylabel(\"log power*frequency\",fontsize=15)\n",
    "plt.xlim(-5.0,-3.0)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig= plt.figure(figsize=(20,20))\n",
    "ax1 = plt.subplot(221)\n",
    "ax2 = plt.subplot(222)\n",
    "ax3 = plt.subplot(223)\n",
    "ax4 = plt.subplot(224)\n",
    "\n",
    "ax1.step(F1_binned_00, p_times_f_data_b_00, where='mid',color=\"b\")\n",
    "ax2.step(F1_binned_06, p_times_f_data_b_06, where='mid',color=\"orange\")\n",
    "ax3.step(F1_binned_091, p_times_f_data_b_091, where='mid', color=\"g\")\n",
    "ax4.step(F1_binned_092, p_times_f_data_b_092, where='mid', color=\"r\")\n",
    "\n",
    "ax1.errorbar(F1_binned_00, p_times_f_data_b_00, yerr=per_data_b_std_00, fmt=',',color=\"b\", label='2000')\n",
    "ax2.errorbar(F1_binned_06, p_times_f_data_b_06, yerr=per_data_b_std_06, fmt=',',color=\"orange\", label='2006')\n",
    "ax3.errorbar(F1_binned_091, p_times_f_data_b_091, yerr=per_data_b_std_091, fmt=',',color=\"g\",label='2009(1)')\n",
    "ax4.errorbar(F1_binned_092, p_times_f_data_b_092, yerr=per_data_b_std_092, fmt=',',color=\"r\",label='2009(2)')\n",
    "\n",
    "\n",
    "ax1.set_xlabel(\"log frequency\",fontsize=20)\n",
    "ax1.set_ylabel(\"log power*frequency\",fontsize=20)\n",
    "ax1.set_xlim(-5.0,-3.0)\n",
    "ax1.set_ylim(-5,-1)\n",
    "ax1.tick_params(labelsize=15)\n",
    "ax1.set_title(\"PSD 2000\",fontsize=25)\n",
    "ax2.set_xlabel(\"log frequency\",fontsize=20)\n",
    "ax2.set_ylabel(\"log power*frequency\",fontsize=20)\n",
    "ax2.set_xlim(-5.0,-3.0)\n",
    "ax2.set_ylim(-5,-1)\n",
    "ax2.tick_params(labelsize=15)\n",
    "ax2.set_title(\"PSD 2006\",fontsize=25)\n",
    "ax3.set_xlabel(\"log frequency\",fontsize=20)\n",
    "ax3.set_ylabel(\"log power*frequency\",fontsize=20)\n",
    "ax3.set_xlim(-5.0,-3.0)\n",
    "ax3.set_ylim(-5,-1)\n",
    "ax3.tick_params(labelsize=15)\n",
    "ax3.set_title(\"PSD 2009(1)\",fontsize=25)\n",
    "ax4.set_xlabel(\"log frequency\",fontsize=20)\n",
    "ax4.set_ylabel(\"log power*frequency\",fontsize=20)\n",
    "ax4.set_xlim(-5.0,-3.0)\n",
    "ax4.set_ylim(-5,-1)\n",
    "ax4.tick_params(labelsize=15)\n",
    "ax4.set_title(\"PSD 2009(2)\",fontsize=25)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data09 = pd.read_csv(\"perlist09.csv\")  \n",
    "\n",
    "F1 = data09['f']\n",
    "per_data = data09['per']\n",
    "p_times_f_data = np.multiply(np.array(F1),np.array(per_data))\n",
    "F1_log_09 = [math.log(i,10) for i in F1]\n",
    "ptf_data_log_09 = [math.log(i,10) for i in p_times_f_data]\n",
    "\n",
    "# 数据分bin\n",
    "F1_binned_09 = databin_are(F1,F1)\n",
    "per_data_binned_09 = databin_are(per_data,F1)\n",
    "per_data_b_std_09 = databin_are_std(per_data,F1)\n",
    "p_times_f_data_b_09 = np.array(F1_binned_09)+np.array(per_data_binned_09)\n",
    "\n",
    "\n",
    "\n",
    "plt.figure(figsize=(10,8))\n",
    "plt.plot(F1_log_09, ptf_data_log_09, color=\"b\", alpha=0.3, linewidth=1)\n",
    "plt.scatter(F1_binned_09, p_times_f_data_b_09, color=\"r\", linewidth=1) \n",
    "plt.errorbar(F1_binned_09, p_times_f_data_b_09, yerr=per_data_b_std_09, fmt='.r')\n",
    "plt.xlabel(\"log frequency\",fontsize=15)\n",
    "plt.ylabel(\"log power*frequency\",fontsize=15)\n",
    "plt.tick_params(labelsize=13)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x720 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig= plt.figure(figsize=(20,10))\n",
    "ax5 = plt.subplot(121)\n",
    "ax6 = plt.subplot(122)\n",
    "\n",
    "ax5.step(F1_binned_06, p_times_f_data_b_06, where='mid',color=\"b\")\n",
    "ax6.step(F1_binned_09, p_times_f_data_b_09, where='mid', color=\"r\")\n",
    "\n",
    "ax5.errorbar(F1_binned_06, p_times_f_data_b_06, yerr=per_data_b_std_06, fmt=',',color=\"b\", label='2006')\n",
    "ax6.errorbar(F1_binned_09, p_times_f_data_b_09, yerr=per_data_b_std_09, fmt=',',color=\"r\",label='2009')\n",
    "\n",
    "\n",
    "ax5.set_xlabel(\"log frequency\",fontsize=20)\n",
    "ax5.set_ylabel(\"log power*frequency\",fontsize=20)\n",
    "ax5.set_xlim(-5.0,-3.0)\n",
    "ax5.set_ylim(-5,-0.5)\n",
    "ax5.tick_params(labelsize=15)\n",
    "ax5.set_title(\"PSD 2006\",fontsize=25)\n",
    "\n",
    "ax6.set_xlabel(\"log frequency\",fontsize=20)\n",
    "ax6.set_ylabel(\"log power*frequency\",fontsize=20)\n",
    "ax6.set_xlim(-5.0,-3.0)\n",
    "ax6.set_ylim(-5,-0.5)\n",
    "ax6.tick_params(labelsize=15)\n",
    "ax6.set_title(\"PSD 2009\",fontsize=25)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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